Systematic Convergence in Applying Variational Method to Double-Well Potential

摘要

In this work, we demonstrate the application of the variational method by computing the ground- and first-excited state energies of a double-well potential. We start with the proper choice of the trial wave functions using optimized parameters, and notice that accurate expectation values in excellent agreement with the numerical results can be aquired by cautious systematic improvement of trial wave functions.